Two-dimensional unsteady heat conduction analysis with heat generation by triple-reciprocity BEM

If the initial temperature is assumed to be constant, a domain integral is not needed to solve un- steady heat conduction problems without heat generation using the boundary element method (BEM). However, with heat generation or a non-uniform initial temperature distribution, the domain integral is necessary. This paper demonstrates that two-dimensional problems of unsteady heat conduction with heat generation and a non-uniform initial temperature distribution can be solved approximately without the domain integral by the triple-reciprocity boundary element method. In this method, heat generation and the initial temperature distribution are interpolated using the boundary integral equation